Analysis of voting data for an election provided the following results for the c
ID: 3179163 • Letter: A
Question
Analysis of voting data for an election provided the following results for the choices of voters with and without a college degree: If a person voted for candidate A, what is the probability that that person has a college degree? A multiple choice test contains 10 questions, each with four possible answers. A student guesses on each question. (a) What is the probability that the student gets exactly 6 questions correct? (b) Suppose each right answer on the test is worth ten points and each wrong answer is worth zero points. If a large class takes the test and each student guesses on each question, what would the class average be? An airline sells 125 tickets for a flight with 120 seats. Assume that the probability that a passenger with a ticket does not arrive at the gate is 0.10, and that the passengers behave independently. (a) What is the probability that every passenger who arrives at the gate can take the flight? (b) What is the probability that the flight will depart with at least one empty seat?Explanation / Answer
Solution:-
7)
The probability that a passenger with a ticket does not arrive at the gate = 0.10
The probability that a passenger with a ticket arrive at the gate = 0.90
a) The proabability that every passenger who arrives at the gate can take the flight is 0.99614.
Total number of booked tickets = 125
Total seats filled = 120
By applying binomial distribution:-
P(x, n, p) = nCx*p x *(1 - p)(n - x)
P(x = 120) = 0.99614
The proabability that every passenger who arrives at the gate can take the flight is 0.99614.
b) The probability that flight will depart with atleast one empty seats is 0.9886.
Total number of booked tickets = 125
Total seats filled = 119
By applying binomial distribution:-
P(x, n, p) = nCx*p x *(1 - p)(n - x)
P(x = 119) = 0.9886
The probability that flight will depart with atleast one empty seats is 0.9886.
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